212009147568 has 120 divisors (see below), whose sum is σ = 596011021008. Its totient is φ = 70351013376.

The previous prime is 212009147563. The next prime is 212009147633. The reversal of 212009147568 is 865741900212.

212009147568 is a `hidden beast` number, since 21 + 20 + 0 + 9 + 1 + 47 + 568 = 666.

It is a super-3 number, since 3×212009147568³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212009147563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69124371 + ... + 69127437.

Almost surely, 2^212009147568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212009147568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298005510504).

212009147568 is an abundant number, since it is smaller than the sum of its proper divisors (384001873440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212009147568 is a wasteful number, since it uses less digits than its factorization.

212009147568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 212009147568 in words is "two hundred twelve billion, nine million, one hundred forty-seven thousand, five hundred sixty-eight".